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Finding the Fourth Proportional to 3,769.87, 5,202.16 and 2,176.58

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Solution

The fourth proportional to 3,769.87, 5,202.16 and 2,176.58 is: 3,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.87 : 5,202.16 = 2,176.58 : x
  2. Step 2: Convert to fraction form
    3,769.87/5,202.16 = 2,176.58/x
  3. Step 3: Cross multiply
    3,769.87x = 5,202.16 × 2,176.58
  4. Step 4: Simplify right side
    3,769.87x = 11,322,924.98
  5. Step 5: Solve for x
    x = 11,322,924.98/3,769.87
  6. Step 6: Final answer
    x = 3,003.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.